Question

Which sequence of transformations could be performed on quadrilateral PQRS to show it is similar to PTUV?A a reflection over QR followed by a dilation centered at point PB a dilation centered at point P followed by a rotation about point PC a reflection over a line through point P followed by a translation downD a reflection over a line through point P followed by a dilation centered at point P

Answer 1

The sequence of transformation is;

D; a reflection over a line through point P followed by a dilation centered at point P

Here, we want to get the transformation type that could take PQRS to PTUV

As we can see, PQRS is bigger, so there needs to be a dilation done so as to resize it for it to match the size of PTUV

However, before we can have a dialtion, we need a reflection

By reflecting over a line drawn through P, we can get the shape of PQRS flipped over its side to match the positioning of PTUV